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Long Division - Worksheet 8 - 4th Grade

Hard

Use long division to divide multi-digit numbers (Hard)

18 problems · 20-30 minutes · Skills: division, algorithms

About This Worksheet

This hard-level worksheet contains 18 problems designed for 4th Grade students practicing long division. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Long division is one of the most important computational algorithms in mathematics. It builds systematic, multi-step thinking and is directly connected to dividing polynomials and understanding fractions as division.

  • Apply the long division algorithm step-by-step: divide, multiply, subtract, bring down
  • Divide 3- and 4-digit dividends by 1-digit divisors
  • Use estimation to check quotients for reasonableness
  • Identify when to write a zero in the quotient as a placeholder
  • Verify long division answers by multiplying quotient by divisor and adding the remainder

How to Solve: Worked Example

Example Problem: 573 ÷ 8 = ?
Solution Steps:
  1. How many times does 8 go into 57? Seven times (8 × 7 = 56). Write 7.
  2. Subtract: 57 − 56 = 1. Bring down 3 to get 13.
  3. How many times does 8 go into 13? Once (8 × 1 = 8). Write 1.
  4. Subtract: 13 − 8 = 5. No more digits to bring down.
  5. Quotient: 71, Remainder: 5.
  6. Answer: 71 remainder 5, or 71 R5.
Answer: 71 R5
Tip: The remainder must always be less than the divisor. Here 5 < 8, so we are done.
1
139 ÷ 6 = ___ R ___
2
153 ÷ 7 = ___ R ___
3
391 ÷ 7 = ___ R ___
4
113 ÷ 2 = ___ R ___
5
89 ÷ 2 = ___ R ___
6
687 ÷ 8 = ___ R ___
7
550 ÷ 7 = ___ R ___
8
337 ÷ 9 = ___ R ___
9
159 ÷ 5 = ___ R ___
10
161 ÷ 2 = ___ R ___
11
141 ÷ 2 = ___ R ___
12
395 ÷ 9 = ___ R ___
13
126 ÷ 5 = ___ R ___
14
110 ÷ 4 = ___ R ___
15
565 ÷ 7 = ___ R ___
16
187 ÷ 2 = ___ R ___
17
134 ÷ 3 = ___ R ___
18
53 ÷ 2 = ___ R ___

Answer Key

1. 23 R 12. 21 R 63. 55 R 64. 56 R 15. 44 R 16. 85 R 77. 78 R 48. 37 R 49. 31 R 410. 80 R 111. 70 R 112. 43 R 813. 25 R 114. 27 R 215. 80 R 516. 93 R 117. 44 R 218. 26 R 1

Frequently Asked Questions

How do I download this long division - worksheet 8 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

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What skills does this division worksheet cover?

This worksheet focuses on division, algorithms. It is designed for 4th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.